One of the big differences between US and most of the international universities that I know best is that undergrads are not typically involved in research. In the US most undergrads who want to be involved in research can be.
OP, you are a very strong candidate. Shoot your shot at the ‘T10’- I understand the value of name recognition when you are bringing an international degree home- but if you are serious about wanting to be in the US, research a much longer list. First figure out which of the super-tops really fit what you are looking for (and why), then use the ‘schools like this’ and posters here on CC to id schools that are similar in those ways. There are more unis than you may realize with rich opportunities for being involved in research, for top faculty, and extremely talented peers, and you will be able to get into any grad school from any (say) T50 (the whole T-X thing is problematic)
This. You want a US college to gift you some amount of your education, but in practice it is a trade: they have something you want (access to their university), so you need to have something they want. If you are Harvard, you are spoilt for choice, b/c the name recognition of Harvard is hard to beat. But if you are Wesleyan / Rice / Hamilton / Swarthmore / etc., most internationals haven’t heard of you and the pool of international applicants is not as deep- meaning that an applicant with credentials like yours, OP stands out more. It’s still a very long shot- very few US unis have more than 8-15% international students!- but it is slightly more possible.
You / your family may say ‘no point going to the US if it’s not Harvard when we have good local choices’- and that is totally fair! But if the goal is to get to the US, then broaden out past the names that every international applicant knows.